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Laurent Mertz
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An ultra weak finite element method as an alternative to a Monte Carlo method for an elasto-plastic problem with noise
A Bensoussan, L Mertz, O Pironneau, J Turi
SIAM journal on numerical analysis 47 (5), 3374-3396, 2009
322009
Optimal protocols and universal time-energy bound in Brownian thermodynamics
Y Rosales-Cabara, G Manfredi, G Schnoering, PA Hervieux, L Mertz, ...
Physical Review Research 2 (1), 012012, 2020
182020
Stochastic dynamics of fluid–structure interaction in turbulent thermal convection
J Mac Huang, JQ Zhong, J Zhang, L Mertz
Journal of Fluid Mechanics 854, R5, 2018
152018
An analytic approach to the ergodic theory of a stochastic variational inequality
A Bensoussan, L Mertz
Comptes Rendus. Mathématique 350 (7-8), 365-370, 2012
152012
An empirical study on plastic deformations of an elasto-plastic problem with noise
L Mertz, C Feau
Probabilistic engineering mechanics 30, 60-69, 2012
132012
Long cycle behavior of the plastic deformation of an elasto-perfectly-plastic oscillator with noise
A Bensoussan, L Mertz, SCP Yam
Comptes Rendus. Mathématique 350 (17-18), 853-859, 2012
112012
Degenerate Dirichlet problems related to the ergodic property of an elasto-plastic oscillator excited by a filtered white noise
L Mertz, A Bensoussan
IMA Journal of Applied Mathematics 80 (5), 1387-1408, 2015
82015
An analytical approach for the growth rate of the variance of the deformation related to an elasto-plastic oscillator excited by a white noise
A Bensoussan, C Feau, L Mertz, S Chi Phillip Yam
Applied Mathematics Research eXpress 2015 (1), 99-128, 2015
72015
A control variate method driven by diffusion approximation
J Garnier, L Mertz
Communications on Pure and Applied Mathematics 75 (3), 455-492, 2022
52022
Asymptotic formulae for the risk of failure related to an elasto-plastic problem with noise
C Feau, M Laurière, L Mertz
Asymptotic Analysis 106 (1), 47-60, 2018
42018
Nonlocal boundary value problems of a stochastic variational inequality modeling an elasto-plastic oscillator excited by a filtered noise
A Bensoussan, L Mertz, SCP Yam
SIAM Journal on Mathematical Analysis 48 (4), 2783-2805, 2016
42016
Penalization of a stochastic variational inequality modeling an elasto-plastic problem with noise
M Laurière, L Mertz
ESAIM: Proceedings and Surveys 48, 226-247, 2015
42015
Approximate solutions of a stochastic variational inequality modeling an elasto-plastic problem with noise
H Jasso-Fuentes, L Mertz, SC Phillip Yam
Applied Mathematics Research Express 2014 (1), 52-73, 2014
42014
Asymptotic analysis of stochastic variational inequalities modeling an elasto-plastic problem with vanishing jumps
A Bensoussan, H Jasso-Fuentes, S Menozzi, L Mertz
Asymptotic Analysis 80 (1-2), 171-187, 2012
42012
Probing quantum effects with classical stochastic analogs
R Goerlich, G Manfredi, PA Hervieux, L Mertz, C Genet
Physical Review Research 3 (3), 033203, 2021
32021
Numerical analysis of degenerate Kolmogorov equations of constrained stochastic Hamiltonian systems
L Mertz, O Pironneau
Computers & Mathematics with Applications 78 (8), 2719-2733, 2019
32019
A Feynman–Kac formula approach for computing expectations and threshold crossing probabilities of non-smooth stochastic dynamical systems
L Mertz, G Stadler, J Wylie
Physica D: Nonlinear Phenomena 397, 25-38, 2019
32019
Penalization of nonsmooth dynamical systems with noise: ergodicity and asymptotic formulae for threshold crossings probabilities
M Lauriere, L Mertz
SIAM Journal on Applied Dynamical Systems 18 (2), 853-880, 2019
32019
Mathematical formulation of a dynamical system with dry friction subjected to external forces
A Bensoussan, A Brouste, FB Cartiaux, C Mathey, L Mertz
Physica D: Nonlinear Phenomena 421, 132859, 2021
22021
Inéquations variationnelles stochastiques et applications aux vibrations de structures mécaniques
L Mertz
université Pierre et Marie Curie, 2011
22011
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